Angles and Trigonometric Functions

Question 1

Which expression is equal to –1?

Revolt · Accepted Answer

sin

Question 2

On which interval is y = sin(x) strictly increasing?

Revolt · Accepted Answer

(0, StartFraction pi Over 2 EndFraction)

Question 3

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 210 feet (ft). If the wheel rotates 45° counterclockwise and stops, how much does the height of the seat change?

Revolt · Accepted Answer

ft

Question 4

What is the minimum value of the graph of y = cos(x)?

Revolt · Accepted Answer

–1

Question 5

A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?

Revolt · Accepted Answer

1 foot

Question 6

Which represents an even function?

Revolt · Accepted Answer

y = cos(x)

Question 7

Which equation can be used to prove 1 + tan2(x) = sec2(x)?

Revolt · Accepted Answer

StartFraction cosine squared (x) Over cosine squared (x) EndFraction + StartFraction sine squared (x) Over cosine squared (x) EndFraction = StartFraction 1 Over cosine squared (x) EndFraction

Question 8

How many radians is 105°?

Revolt · Accepted Answer

radians

Question 9

Suppose , where . What is sin(θ)?

Revolt · Accepted Answer

Negative StartFraction 12 Over 13 EndFraction

Question 10

In which quadrant(s) are tan(x) and sin(x) both negative?

Revolt · Accepted Answer

quadrant IV

Angles and Trigonometric Functions Answers

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